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2021 April MIMC Problems/Problem 19

Revision as of 17:41, 22 April 2021 by Cellsecret (talk | contribs) (Created page with "<math>(0.51515151...)_n</math> can be expressed as <math>(\frac{6}{n})</math> in base <math>10</math> which <math>n</math> is a positive integer. Find the sum of the digits of...")
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$(0.51515151...)_n$ can be expressed as $(\frac{6}{n})$ in base $10$ which $n$ is a positive integer. Find the sum of the digits of $n^{3}$.

$\textbf{(A)} ~6 \qquad\textbf{(B)} ~7 \qquad\textbf{(C)} ~8 \qquad\textbf{(D)} ~9 \qquad \textbf{(E)} ~\textrm{Does Not Exist}$

Solution

To be Released on April 26th.

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